Q: What are the prime factors of the number 141,301,143?

 A: 3, 733, 21419

Why are those the prime factors of the number 141,301,143?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 141,301,143

141,301,143
Factor Arrows
347,100,381
Factor Arrows
315,700,127
Factor Arrows
73321,419

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

3, 733, 21419

We can check our work by multiplying all of the prime factors together: 3 x 3 x 733 x 21,419 = 141,301,143

This can also be written as 32 x 7331 x 21,4191 = 141,301,143

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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